Pith Number

pith:3WYK3NRU

pith:2025:3WYK3NRUKMCOITA3DERUNZQKVL

not attested not anchored not stored refs pending

Rate-Distortion Limits for Multimodal Retrieval: Theory, Optimal Codes, and Finite-Sample Guarantees

Thomas Y. Chen

arxiv:2509.11054 v1 · 2025-09-14 · cs.IT · cs.CV · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WYK3NRUKMCOITA3DERUNZQKVL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:11:32.742268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb0adb6345304e44c1b192346e60aaacfe65de17b1a4bd0ce2e50c9fe852b13

Aliases

arxiv: 2509.11054 · arxiv_version: 2509.11054v1 · doi: 10.48550/arxiv.2509.11054 · pith_short_12: 3WYK3NRUKMCO · pith_short_16: 3WYK3NRUKMCOITA3 · pith_short_8: 3WYK3NRU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3WYK3NRUKMCOITA3DERUNZQKVL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ddb0adb6345304e44c1b192346e60aaacfe65de17b1a4bd0ce2e50c9fe852b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0aa6e2ea1f0d02530b0d42f5d1f7734c5b8387e2f97aa400b8dc9faa7fc98c5",
    "cross_cats_sorted": [
      "cs.CV",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-09-14T02:45:56Z",
    "title_canon_sha256": "83f83531ce44f62685bfb268615df0de78ff3051ecb2972500519f1bb14b945f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11054",
    "kind": "arxiv",
    "version": 1
  }
}